Question

Assertion (A) : The remainder obtained when the polynomial $x^4-3x^3+9x^2-27x+81$ is divided by x - 3 is 81.
Reason (R) : The remainder obtained when the polynomial f(x) is divided by x - a is f (a).

• A. Both A and R are true and R is correct explanation of A
• B. Both A and R are true and R is not correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is A Both A and R are true and R is correct explanation of A

A : is true $f\left(3\right)=81$
R : is true
and correct explanation Remainder theorem
says so.